Results 11 to 20 of about 2,019 (179)
Turing Instability of Brusselator in the Reaction-Diffusion Network [PDF]
Complexity, 2020 Turing instability constitutes a universal paradigm for the spontaneous generation of spatially organized patterns, especially in a chemical reaction. In this paper, we investigated the pattern dynamics of Brusselator from the view of complex networks ...
Yansu Ji, Jianwei Shen
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From Turing Instability to Fractals [PDF]
Nonlinear Photonics, 2007 Complexity focuses on commonality across subject areas and forms a natural platform for multidisciplinary activities. Typical generic signatures of complexity include: (i) spontaneous occurrence of simple patterns (e.g. stripes, squares, hexagons) emerging as dominant nonlinear modes [1], and (ii) the formation of a highly complex pattern in the form ...
Huang, JG +4 more
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Turing instability for a Leslie–Gower model
Ricerche di Matematica, 2023 Abstract The aim of this paper is to investigate a reaction-diffusion Leslie–Gower predator–prey model, incorporating the intraguild predation and both self and cross-diffusion. The longtime behaviour of the solutions is analysed, proving the existence of an absorbing set.
Capone F. +4 more
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Pattern formation (II): The Turing Instability [PDF]
Proceedings of the American Mathematical Society, 2007 We consider the classical Turing instability in a reaction-diffusion system as the secend part of our study on pattern formation. We prove that nonlinear dynamics of a general perturbation of the Turing instability is determined by the finite number of linear growing modes over a time scale of
Guo, Y, Hwang, HJ
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Modeling of plankton community state with density-dependent death and spatial activity of zooplankton [PDF]
Компьютерные исследования и моделирование, 2016 A vertically distributed three-component model of marine ecosystem is considered. State of the plankton community with nutrients is analyzed under the active movement of zooplankton in a vertical column of water.
Evgeniya Evgenievna Giricheva
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Turing instabilities on Cartesian product networks [PDF]
Scientific Reports, 2015 AbstractThe problem of Turing instabilities for a reaction-diffusion system defined on a complex Cartesian product network is considered. To this end we operate in the linear regime and expand the time dependent perturbation on a basis formed by the tensor product of the eigenvectors of the discrete Laplacian operators, associated to each of the ...
ASLLANI, MALBOR +4 more
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Hopf bifurcation and Turing instability in a diffusive predator-prey model with hunting cooperation
Open Mathematics, 2022 In this article, we study Hopf bifurcation and Turing instability of a diffusive predator-prey model with hunting cooperation. For the local model, we analyze the stability of the equilibrium and derive conditions for determining the direction of Hopf ...
Miao Liangying, He Zhiqian
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Turing instability in a boundary-fed system [PDF]
Physical Review E, 1998 41 pages, 18 figures, to be published in Physical Review ...
Setayeshgar, S., Cross, M. C.
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Turing instabilities in general systems
Journal of Mathematical Biology, 2000 We present necessary and sufficient conditions on the stability matrix of a general n(> or = 2)-dimensional reaction-diffusion system which guarantee that its uniform steady state can undergo a Turing bifurcation. The necessary (kinetic) condition, requiring that the system be composed of an unstable (or activator) and a stable (or inhibitor) subsystem,
Satnoianu, R, Menzinger, M, Maini, P
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Boundary Value Problems, 2022 In this paper, a modified cross-diffusion Leslie–Gower predator–prey model with the Beddington–DeAngelis functional response is studied. We use the linear stability analysis on constant steady states to obtain sufficient conditions for the occurrence of ...
Marzieh Farshid, Yaghoub Jalilian
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